taiwan-gsat 2022 Q4

taiwan-gsat · Other · gsat__math-b 5 marks Laws of Logarithms Simplify or Evaluate a Logarithmic Expression
On a coordinate plane, it is known that vector $\overrightarrow{PQ} = \left(\log \frac{1}{5}, -10^{-5}\right)$, where point $P$ has coordinates $\left(\log \frac{1}{2}, 2^{-5}\right)$. Select the correct option.
(1) Point $Q$ is in the first quadrant
(2) Point $Q$ is in the second quadrant
(3) Point $Q$ is in the third quadrant
(4) Point $Q$ is in the fourth quadrant
(5) Point $Q$ is on a coordinate axis
On a coordinate plane, it is known that vector $\overrightarrow{PQ} = \left(\log \frac{1}{5}, -10^{-5}\right)$, where point $P$ has coordinates $\left(\log \frac{1}{2}, 2^{-5}\right)$. Select the correct option.\\
(1) Point $Q$ is in the first quadrant\\
(2) Point $Q$ is in the second quadrant\\
(3) Point $Q$ is in the third quadrant\\
(4) Point $Q$ is in the fourth quadrant\\
(5) Point $Q$ is on a coordinate axis